Vertex Form & Transformations

Front

What is the vertex form of a quadratic function?

Back

Front

Back

The vertex is the point (h, k).

Front

What does the 'a' value in the vertex form indicate?

Back

The 'a' value indicates the direction of the parabola (upward if a > 0, downward if a < 0) and the width of the parabola (narrower if |a| > 1, wider if |a| < 1).

Front

Back

The transformation represents a reflection over the x-axis, a vertical stretch by a factor of 3, a left shift of 4 units, and a downward shift of 1 unit.

Front

Back

The vertex is (4, 1).

Front

What does it mean if a quadratic function is in standard form?

Back

Front

How can you convert from standard form to vertex form?

Back

You can convert from standard form to vertex form by completing the square.

Front

What is the effect of a negative 'a' value in the vertex form?

Back

A negative 'a' value reflects the parabola over the x-axis.

Front

Back

a = 1, h = -3, k = 2.

Front

Back

The transformation represents a reflection over the x-axis, a left shift of 3 units, and an upward shift of 6 units.